A plank of mass 87 kg and length 7.8 m is supported by, but not affixed to, two posts which are shown in the figure below. A 62 kg person starts walking along the plank to the right end. How close can the person get to the right end of the plank before the plank tips over? 7.8m 2.8m
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- Two children of mass 21 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 2 m, at what distance from the pivot point is the small child sitting in order to maintain the balance? mA wooden plank of length 240 cm lies on the edge of a crate with one-third of the plank's length hanging over the crate's edge. A cat with a mass of 4.0 kg walks to the very edge just before she tips the plank over. What is the mass of the plank?Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 462 N walk on the overhanging part of the plank before it just begins to tip? 41.1 ma
- The 3.8 m long board shown in the image has a mass of 6.4 kg. The left support is 0.40 m from left end of the board. The right support is 1.2 m from the right end of the board. The cat has a mass of 5.0 kg and starts walking to the right. How far from the right support can the cat walk before the board tips over? (Give your answer in m.) Hints: There are two possible ways to solve this problem 1) Use the center of mass: Find the cat's position when the entire system's center of mass is at the right support. 2) Use torque: Set the pivot point at the right support and find the torque due to the weight of the beam and the weight of the cat. Answer:A rod with a length L = 1.0 m long and a mass of 6.0 kg is pivoted around its center. A force of magnitude F = 5.0 N and angle 30° is applied at one end of the rod. A second force of magnitude F/2 is applied 0.25 m from the pivot at an angle of 53° as shown below. F 30⁰ m 53⁰ -pivot F/2 L/2 What is the magnitude of the angular acceleration due to the applied forces? L/4A horizontal 8 kg plank is 3.0 m in length and has its center of mass at the geometrical center. A 2 kg mass is placed 1.0 m from one end and the plank is supported from the ends. Calculate the forces of support. 1.0 m 2 kg 3.0 m
- Don't Use Chat GPT Will Upvote And Give Handwritten Solution PleaseThree children are trying to balance on a seesaw. The seesaw is 4.1 m long and pivots about a rock at its center. Louie and Laura are already sitting on opposite ends. If Martha weighs 33 kg, where should she sit so as to balance the seesaw?A 45.1 kg man is walking on a 147 kg uniform beam that is attached 19.0 m below the top of a building and is 21.2 m long. If a wire is attached to both the top of the building and end of the beam, and is able to handle 1.52E3 N of tension, how close to the end can the man walk before the wire breaks?